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Finding the Fourth Proportional to 1,516,502,436.40, 2,274,753,654.60 and 1,516,502,436.40

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Solution

The fourth proportional to 1,516,502,436.40, 2,274,753,654.60 and 1,516,502,436.40 is: 2,274,753,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516,502,436.40 : 2,274,753,654.60 = 1,516,502,436.40 : x
  2. Step 2: Convert to fraction form
    1,516,502,436.40/2,274,753,654.60 = 1,516,502,436.40/x
  3. Step 3: Cross multiply
    1,516,502,436.40x = 2,274,753,654.60 × 1,516,502,436.40
  4. Step 4: Simplify right side
    1,516,502,436.40x = 3,449,669,459,410,704,384
  5. Step 5: Solve for x
    x = 3,449,669,459,410,704,384/1,516,502,436.40
  6. Step 6: Final answer
    x = 2,274,753,654.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.